Question

Half of a herd of deer are grazing in the field and three fourth of the remaining are playing nearby. The rest 9 are drinking water from the pond.Find the number of deer in the herd.​

Answer 1

Deer = 72

Step-by-step explanation:

Given:

• Half of a herd of deer are grazing in field.
• 3/4th of remaining deer are playing nearby.
• Number of deer drinking water is 9.

To Find:

• What is the total number of deer in the herd?

Solution: Let the total number of deer in herd is x. Therefore,

Deer grazing in filed = x/2

∴ Remaining deer = x – x/2 = x/2

Deer playing nearby = 3/4 of remaining

= 3/4 × x/2 = 3x/8

Number of deer drinking water = 9

Now, A/q

• If we add all the deer together then we will get the total number of deer in herd.

$\implies{\rm }$ x = x/2 + 3x/8 + 9

$\implies{\rm }$ x = 4x + 3x + 72/8

$\implies{\rm }$ 8x = 7x + 72

$\implies{\rm }$ 8x – 7x = 72

$\implies{\rm }$ x = 72

Hence there are total 72 deer in the herd.

Answer 2

☯️ Given :-

• Half of a herd of deer are grazing in the field and three fourth of the remaining are playing nearby.

• The rest 9 are drinking water from the pond.

☯️ To Find :-

• The Number Of Deer in the herd.

☯️ Solution :-

Let,

The total deer be x.

Deer Grazing in field = x/2.

Deer Playing nearby = 3/4 of remaining = 3x/8.

Number of Deer drinking water = 9.

As per Question,

➨ x = x/2 + 3x/8 + 9.

➨ x = 7x + 72/8.

➨ 8x - 7x = 72.

➨ x = 72.

Hence, Total Number Of Deer = 72.